The number 84028
84028 is a composite number with 12 divisors. Its prime factorisation is × 7 × 3001. Divisors (12): 1, 2, 4, 7, 14, 28, 3001, 6002, 12004, 21007, 42014, 84028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
84028 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84028 is composite. Its prime factorisation is
- 3
The divisors add up to 168112; without 84028 itself that is 84084, so 84028 is abundant (84084 is more than 84028). Euler's totient φ(84028) = 36000 numbers up to 84028 share no factor with it.
- 4
The digits of 84028 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84028 = 2^{2} \times 7 \times 3001 \]84028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 168112 |
| Euler totient φ(n) | 36000 |
| Square | 7060704784 |
| Cube | 593296901589952 |
| Square root | 289.875835 (= 2√21007) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.4028 × |
84028 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and twenty-eight |
| Binary (base 2) | 10100100000111100 |
| Octal (base 8) | 244074 |
| Hexadecimal (base 16) | 1483C |
| Base 3 | 11021021011 |
| As time | 84028 seconds = 23 h 20 min 28 s |
Is 84028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84028 ÷ 2 = 42014) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (84028 ÷ 4 = 21007) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (84028 ÷ 7 = 12004) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84028 a prime number?
No. 84028 = × 7 × 3001, so it is divisible by 2.
What are the factors of 84028?
1, 2, 4, 7, 14, 28, 3001, 6002, 12004, 21007, 42014, 84028.
What is 84028 in binary?
10100100000111100 (hexadecimal 1483C, octal 244074).
What is the square root of 84028?
About 289.8758, exactly 2√21007.
Is 84028 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 84028?
It is a composite number with 12 divisors.